1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pickupchik [31]
3 years ago
7

Whoever knows the answer tell me please thank you :)

Mathematics
2 answers:
GaryK [48]3 years ago
8 0

Answer is:

s = 50

Here's how to solve:

In this inequality, our first step is to find the least common denominator (that applies to both fractions, of course), or LCD. For the LCD, the we must find a number that is a multiple of both 21 and 30, and then multiply both sides of the inequality by said value. The reason we multiply on both sides of the inequality is because of the Line of Equality, which is a ruling that states that what you do on one side of an inequality, you also must do on the other.

In this case, our LCD is 210. After multiplying both sides, we are left with 350 = 7s.

Our next step is to isolate the variable 7s to make it singular. 1s, or s, is what we are trying to change the variable to, since that is what the isolated variable will look like. By dividing 7s by 7, we can successfully isolate the variable to 1s/s. Due to the Line of Equality rule, we should do this to both sides. After dividing each side by 7, we are left with s = 50.

Therefore, <em>the value of s is 50</em>, making the answer <em>s = 50</em>.

<h3>Bonus: Showing Work</h3>

<em>Finding the LCD;</em>

LCD for 21:

<em>( 21 * 1  ,  21 * 2  ,  21 * 3  ,  21 * 4  ,  etc... )</em>

Multiples of 21: 21, 42, 63, 84, 105, 126, 147, 168, 189, 210, 231, 252, 273

LCD for 30:

<em>( 30 * 1  ,  30 * 2  ,  30 * 3  ,  30 * 4  ,  etc... )</em>

Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300

LCD Found; <u>210</u>

<em>Multiplying by LCD;</em>

<em>( 35 / 21 * 210  or  35 ÷ 21 * 210 )</em>

Left Side Steps:

Simplify- 35 / 21 --> 35 ÷ 7 / 21 ÷ 7 --> 35 ÷ 7 = 5  &  21 ÷ 7 = 3 --> 5 / 3 ( * 210 )

Single Fraction Format/Format Change- 5 / 3 * 210 --> 5 * 210 / 3

Multiply Numerator(s)/Top- 5 * 210 / 3 --> 5 * 210 = 1050 --> 1050 / 3

Divide Numerator & Denominator- 1050 / 3  or  1050 ÷ 3 --> 350

Right Side Steps:

<em>( s / 30 * 210  or  s ÷ 30 * 210 )</em>

Single Fraction Format/Format Change- s / 30 * 210 --> s * 210 / 30

Multiply Numerator(s)/Top- s * 210 / 30 --> 210s / 30

Divide Numerator & Denominator- 210s / 30  or  210s ÷ 30 --> 7s

New Inequality/Equation Found: <u>350 = 7s</u>

<em>Dividing by 7;</em>

Left Side: 350 ÷ 7 = 50

Right Side: 7s ÷ 7 = s

New Inequality Found; <u>50 = s</u>, or <u>s = 50</u><em> (the sign does not flip because the equivalent sign is the same both ways - and the opposite would be the same as the current value)</em>

Hope this helps! :]

topjm [15]3 years ago
3 0

Answer:

Ans its 50

Let me know if its incorrect:-)

You might be interested in
Find the quadratic function that has roots of -9 and 3 and a vertex of (-3,-36)
natita [175]
Y=(x+9)(x-3)+c
∵(-3,-36)lies on it.
-36=(-3+9)(-3-3)+c
-36=(-6)(-6)+c
-36=36+c
c=-36-36=-72
y=(x-9)(x+3)-72
y=x^2+3x-9x-27-72
y=x^2-6x-99
6 0
3 years ago
Charlie bought 25 shares of stock at $10.50 per share and sold them
frutty [35]

Answer:

$18.75

Step-by-step explanation:

11.25 - 10.50 = 0.75

0.75 • 25 = 18.75

3 0
2 years ago
10 Points<br> Can someone explain to me how to solve this
tatyana61 [14]

Answer:

d he didn't make a mistake

Step-by-step explanation:

so when is says comparing to one it means is the fraction greater than less than or equal to one and because 3/4 is less than one and 9/8 is greater than then 3/4 is less than 9/8 remember it always opens up to the larger number

8 0
3 years ago
Two skiers are 30 kilometers apart and head towards each other. They meet in 2 hours. If the second skier is 5 kilometers per ho
DENIUS [597]

Answer:

Speed of first skier = 5 km/h

Speed of second skier = 10 km/h

Step-by-step explanation:

Given:

Distance between skiers = 30 km

Time after which they meet = 2 hours

Second skier is 5 km/h faster than the first skier.

To find speed of each skier.

Solution:

Let the speed of first skier be in km/h =x

<em>Distance covered in km 2 hours will be = Speed\times time=x\times 2=2x\ km</em>

Speed of second skier in km/h can be given as = x+5

<em>Distance traveled by second skier after 2 hours will be = Speed\times time=(x+5)\times 2=(2x+10)\ km   [Using distribution]</em>

Since, the skiers were 30 km apart initially, so the total distance covered by both of them when they meet after 2 hours will be = 30 km

Thus, we have:

2x+2x+10=30

Solving for x

4x+10=30

Subtracting both sides by 10.

4x+10-10=30-10

4x=20

Dividing both sides by 4.

\frac{4x}{4}=\frac{20}{4}

x=5

Speed of first skier = 5 km/h

Speed of second skier = 5+5 = 10 km/h

8 0
3 years ago
The average of 10 numbers is -5. A new number is added to the list making the average -6. What is the new number?
Shtirlitz [24]

Answer:

- 16

Step-by-step explanation:

Average is calculated as

average = \frac{total}{count}

Thus for the given 10 numbers we have

\frac{total}{10} = - 5 ( multiply both sides by 10 )

total = - 50

let the number added be x, then

\frac{total+x}{11} = - 6 ( multiply both sides by 11 )

total + x = - 66, that is

- 50 + x = - 66 ( add 50 to both sides )

x = - 16

The new number is - 16

4 0
3 years ago
Other questions:
  • Please Answer if you can!
    11·2 answers
  • Chapter 7 of the Jiuzhang suanshu presents a problem of two linear equations involving acres of land and their respective prices
    12·2 answers
  • What is the word that means the answer to an addition problem i forgot
    8·2 answers
  • Eli owes $605. the first week he will pay back $20. the second week he will pay back $29. the third week he will pay back $38. i
    8·1 answer
  • U=1-3v/vt-w make t the subject
    10·1 answer
  • Your company manufactures dolls. each doll requires 2 foot of ribbon for bows how many yards of ribbon will you be required to m
    8·2 answers
  • Select the correct answer.
    14·1 answer
  • How much feet are in 760yards
    13·2 answers
  • Use synthetic division to find the quotient when 3x^3-13x^2+2x-5 is divided by x-4?
    11·1 answer
  • Give the coordinates of each transformation of (2, –3)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!